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On modulus of convexity of quasi-Banach spaces.
- Source :
-
Journal of Computational Analysis & Applications . Jan2019, Vol. 26 Issue 1, p925-934. 10p. - Publication Year :
- 2019
-
Abstract
- The aim of this report is to study modulus of convexity δB of a quasi-Banach space B. We prove that δB is convex, continuous, nondecreasing and for arbitrary uniformly convex quasi-Banach space B, δB(∊) = 1 - 1/C√1 - ∊2C2/4 . We also prove that a quasi-Banach space B is uniformly convex if and only if δB(∊) ≥ 0. Moreover we prove that a non-trivial quasi-Banach space B is uniformly non-square if and only if δB(∊) > 0. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15211398
- Volume :
- 26
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Computational Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 128999386